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102212 = 221123101
BaseRepresentation
bin11000111101000100
312012012122
4120331010
511232322
62105112
7603665
oct307504
9165178
10102212
116a880
124b198
13376a6
142936c
1520442
hex18f44

102212 has 24 divisors (see below), whose sum is σ = 205632. Its totient is φ = 44000.

The previous prime is 102203. The next prime is 102217. The reversal of 102212 is 212201.

Adding to 102212 its reverse (212201), we get a palindrome (314413).

It can be divided in two parts, 10 and 2212, that added together give a palindrome (2222).

It is a self number, because there is not a number n which added to its sum of digits gives 102212.

It is not an unprimeable number, because it can be changed into a prime (102217) by changing a digit.

102212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2102212 is an apocalyptic number.

It is an amenable number.

102212 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212 is a wasteful number, since it uses less digits than its factorization.

102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102212 is about 319.7061150494. The cubic root of 102212 is about 46.7556352649.

The spelling of 102212 in words is "one hundred two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 11 22 23 44 46 92 101 202 253 404 506 1012 1111 2222 2323 4444 4646 9292 25553 51106 102212